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Finding the Fourth Proportional to 132.29, 182.72 and 128.04

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Solution

The fourth proportional to 132.29, 182.72 and 128.04 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.29 : 182.72 = 128.04 : x
  2. Step 2: Convert to fraction form
    132.29/182.72 = 128.04/x
  3. Step 3: Cross multiply
    132.29x = 182.72 × 128.04
  4. Step 4: Simplify right side
    132.29x = 23,395.47
  5. Step 5: Solve for x
    x = 23,395.47/132.29
  6. Step 6: Final answer
    x = 176.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.